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Simplifying 3m + -1 + -7 = -4(5m + -6) + 5(m + 8) Reorder the terms: -1 + -7 + 3m = -4(5m + -6) + 5(m + 8) Combine like terms: -1 + -7 = -8 -8 + 3m = -4(5m + -6) + 5(m + 8) Reorder the terms: -8 + 3m = -4(-6 + 5m) + 5(m + 8) -8 + 3m = (-6 * -4 + 5m * -4) + 5(m + 8) -8 + 3m = (24 + -20m) + 5(m + 8) Reorder the terms: -8 + 3m = 24 + -20m + 5(8 + m) -8 + 3m = 24 + -20m + (8 * 5 + m * 5) -8 + 3m = 24 + -20m + (40 + 5m) Reorder the terms: -8 + 3m = 24 + 40 + -20m + 5m Combine like terms: 24 + 40 = 64 -8 + 3m = 64 + -20m + 5m Combine like terms: -20m + 5m = -15m -8 + 3m = 64 + -15m Solving -8 + 3m = 64 + -15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '15m' to each side of the equation. -8 + 3m + 15m = 64 + -15m + 15m Combine like terms: 3m + 15m = 18m -8 + 18m = 64 + -15m + 15m Combine like terms: -15m + 15m = 0 -8 + 18m = 64 + 0 -8 + 18m = 64 Add '8' to each side of the equation. -8 + 8 + 18m = 64 + 8 Combine like terms: -8 + 8 = 0 0 + 18m = 64 + 8 18m = 64 + 8 Combine like terms: 64 + 8 = 72 18m = 72 Divide each side by '18'. m = 4 Simplifying m = 4
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